Duality, Bridgeland wall-crossing and flips of secant varieties Academic Article

journal

  • International Journal of Mathematics

abstract

  • Let vd(ℙ2) ϵ |Oℙ2(d)| denote the d-uple Veronese surface. After studying some general aspects of the wall-crossing phenomena for stability conditions on surfaces, we are able to describe a sequence of flips of the secant varieties of vd(ℙ2) by embedding the blow-up blvd(ℙ2) |Oℙ2(d)| into a suitable moduli space of Bridgeland semistable objects on ℙ2.

publication date

  • 2017-2-1

edition

  • 28

keywords

  • Blow-up
  • Denote
  • Duality
  • Flip
  • Moduli Space
  • Object
  • Secant Varieties
  • Stability Condition

International Standard Serial Number (ISSN)

  • 0129-167X